If a = I + 2j - 3k, b = 2i + j + k, c = ...

If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then `(a xx b) xx (b xx c)` =

A

5 (2i + j + k)

B

`-5 (2i + j + k)`

C

10 (2i + j + k)

D

`-10 (2i + j + k)`

Text Solution

Verified by Experts

The correct Answer is:

D

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Knowledge Check

If a = I + j - k, b = I - j + k, c = I - j - k then a xx (b xx c) =

A

I - j + k

B

2i - 2j

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3i - j + k

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2i + 2j - k

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A

`sqrt(474)`

B

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If a = 2i - 3j - k, b = I + 4j - 2k then (a + b) xx (a - b) =

A

20i - 6j - 22k

B

`-20i + 6j - 22k`

C

`-20i - 6j - 22k`

D

20i + 6j - 22k

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